en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=3sin(2x-pi/2)+2

Solution

y = 3 sin (2 x - \frac{π}{2}) + 2

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 5

X Intercepts : (\frac{π}{4} - \frac{arcsin ( \frac{2}{3} )}{2} + πn, 0), (\frac{3 π}{4} + \frac{arcsin ( \frac{2}{3} )}{2} + πn, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Minimum (πn, - 1), Maximum (\frac{π}{2} + πn, 5)

+1

Solution steps

Periodicity of

3 sin (2 x - \frac{π}{2}) + 2 : π

Domain of

3 sin (2 x - \frac{π}{2}) + 2 : - \infty < x < \infty

Range of

3 sin (2 x - \frac{π}{2}) + 2 : - 1 \leq f (x) \leq 5

Axis interception points of

3 sin (2 x - \frac{π}{2}) + 2 :

X Intercepts

: (\frac{π}{4} - \frac{arcsin ( \frac{2}{3} )}{2} + πn, 0), (\frac{3 π}{4} + \frac{arcsin ( \frac{2}{3} )}{2} + πn, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

3 sin (2 x - \frac{π}{2}) + 2 :

None

Extreme Points of

3 sin (2 x - \frac{π}{2}) + 2 :

Minimum

(πn, - 1),

Maximum

(\frac{π}{2} + πn, 5)

Popular Examples

f(x)=(8x-3)/(4x-1)

f (x) = \frac{8 x - 3}{4 x - 1}

f(x)=x^4-x^3+x^2+2

f (x) = x^{4} - x^{3} + x^{2} + 2

f (x) = 9 x^{2} - 6 x + 1

y = - (x + 1)^{3} + 27

y = 3^{x + 5}

Frequently Asked Questions (FAQ)

What is the y=3sin(2x-pi/2)+2 ?
The y=3sin(2x-pi/2)+2 is